NIMCET 2023 — Computer PYQ

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Question

NIMCET 2023 — Computer PYQ

NIMCET | Computer | 2023

A CPU generates 32-bit virtual addresses. The page size is 4KB. The processor has a translation look-aside buffer (TLB) which can hold a total of 128 page table entries and is 4-way set associative. The minimum size of the TLB tag is

Choose the correct answer:

Explanation

TLB Tag Size Calculation
The minimum size of the TLB tag is determined by subtracting the number of bits used for the page offset and the TLB set index from the total virtual address bits.
Step-by-step Solution
1. Determine the number of bits for the page off set:
The page size is $4 KB$ . Since $1 KB = 2^{10} bytes$ , $4 KB = 4 \times 2^{10} = 2^{2} \times 2^{10} = 2^{12} bytes$ . Therefore, the number of bits required for the page offset is $12 bits$ .
1. Determine the number of bits for the TLB set index:

The TLB has a total of $128$ entries and is $4$ -way set associative. The number of sets in the TLB is calculated as $\frac{Total TLB entries}{Associativity} = \frac{128}{4} = 32 sets$ . Since $32 = 2^{5}$ , the number of bits required for the TLB set index is $5 bits$ .

1. Calculate the size of the TLB tag:
The virtual address is $32 bits$ . The number of bits for the TLB tag is calculated as $Total virtual address bits - Page offset bits - TLB set index bits$ . Therefore, the TLB tag size is $32 - 12 - 5 = 15 bits$ .
Final Answer
The minimum size of the TLB tag is $15 bits$ .